Question

Maths几何问题

Answer 1

更新1:

例如 直线上的邻角+英文简写+一个图
s.s.s. +图
大角对大边
三角形不等式等等 唔该!

以下这个网址包括所有中学会教到的Dedutive Geomety 的 reasons 中英文写法(而且有图解释)﹐诚为不可多得之作。 resource.puic hing.edu/pub/reso urce/697/GeometryThe oremAbbreviation.200 30411135951.doc?PHPS ESSID=0d3ed9cba28428 326953c4fd855442e2 另外下面是其他网上找到的。 Basic Terms (基本资料): Given - 已知 Proved in (a) - 在(a)已证 By definition - 根据定义 Congruence (全等): SSS SAS ASA AAS RHS Common angle - 公共角 Common side - 公共边 Corresponding angles
congruent triangles - 全等三角形的对应角 Corresponding sides
congruent triangles - 全等三角形的对应边 Similarity (相似): AAA 3 sides propertional - 三边成比例 Ratio of 2 sides
included angle - 两边成比例且夹角相等 Corresponding angles
similar triangles - 相似三角形的对应角 Corresponding sides
similar triangles - 相似三角形的对应边 Straight lines and parallel lines (直线与平行线): Adjacent angles on straight line - 直线上的邻角 Angles at a point - 同顶角 Vertical opposite angles - 对顶角 Corresponding angles
ABCD - 同位角，ABCD Alternate angles
ABCD - 错角，ABCD Interior angles
ABCD - 同旁内角，ABCD Corresponding angles equal - 同位角相等 Alternate angles equal - 错角相等 Interior angles supplementary - 同旁内角互补 Triangle and convex polygon (三角形及凸多边形): Angle sum of triangle - 三角形内角和 Exterior angle of triangle - 三角形外角 Base angles of isosceles triangle - 等腰三角形底角 Side opposite angles equal - 等角对边相等 Property of equilateral triangle - 等边三角形性质 Angles sum of polygon - 多边形内角和 Sum of exterior angles of polygon - 多边形外角和 Pythagoras Theorem - 毕氏定理 Converse of Pythagoras Theorem - 毕氏定理的逆定理 Parallelogram (平行四边形): Opposite sides of parallelogram - 平行四边形对边 Opposite angles of parallelogram - 平行四边形对角 Diagonals of parallelogram - 平行四边形对角线 Opposite sides equal - 对边相等 Opposite angles equal - 对角相等 Diagonals bisect each other - 对角线互相平分 2 sides equal and parallel - 一组对边相等且平行 Properties of rectangle - 长方形性质 Properties of square - 正方形性质 Properties of rhombus - 菱形性质 Ratios of lines (直线比例): Mid-point theorem - 中点定理 Intercept theorem - 截线定理 Equal ratios - 等比定理 Converse of equal ratios - 等比定理的逆定理 Perpendicular bisector theorem - 垂直平分线定理 Converse of Perpendicular bisector theorem - 垂直平分线定理的逆定理 Angle bisector theorem - 角平分线定理 Converse of Angle bisector theorem - 角平分线定理的逆定理 Circle (圆): Equal radii - 半径 Equal arc
equal chord - 等弧对等弦 Equal chord
equal angle - 等弦对等角 Equal angle
equal arc - 等角对等弧 Equal chord
equal arc - 等弦对等弧 Equal angle
equal chord - 等角对等弦 Equal arc
equal angle - 等弧对等角 Arc proportional to angle at centre - 弧长与圆心角成比例 Arc proportional to angle at circumference - 弧长与圆周角成比例 Line from centre perpendicular to chord bisects chord - 圆心至弦的垂线平分弦 Line joining centre to mid-point of chord perpendicular to chord - 圆心至弦中点的连线垂直弦 Equal chord
equidistant from centre - 等弦与圆心等距 Chord
equidistant from centre are equal - 与圆心等距的弦等长 Angle in the semi-circle - 半圆上的圆周角 Angle at centre ice angle at circumference - 圆心角两倍于圆周角 Angles in the same segment - 同弓形内的圆周角 Converse of Angles in the same segment - 同弓形内的圆周角的逆定理 Opposite angles
cyclic quadrilateral - 圆内接四边形对角 Opposite angles
supplementary - 对角互补 Exterior angle
cyclic quadrilateral - 圆内接四边形外角 Exterior angle is equal to interior opposite angle - 外角等于内对角 Tangent of circle (圆的切线): Tangent perpendicular to radius - 切线垂直半径 Converse of Tangent perpendicular to radius - 切线垂直半径的逆定理 Angle in alternate segment - 交错弓形的圆周角 Converse of Angle in alternate segment - 交错弓形的圆周角的逆定理 Tangent properties - 切线性质
参考: yll.loxa.edu/BB2/viewtopic?t=1546&sid=48e8fb541149990ce59e289a19e4c19d